Representing Relations and Functions

Front

What is the range of the function: {(2,3), (4,3), (6,3), (8, 5)?

Back

3, 5

Front

Is this a function? (Use the vertical line test)

Back

No, because a vertical line touches more than one point on the relation.

Front

Is this a function? (Use the vertical line test)

Back

Yes, because a vertical line touches only one point on the relation.

Front

What is the domain of the function: {(2,3), (4,3), (6,3), (8, 5)?

Back

2, 4, 6, 8

Front

Is this relation a function: {(3,2), (3,4), (5,6), (7, 8)?

Back

No, because the x-coordinate of 3 repeats itself.

Front

Define a function in mathematical terms.

Back

A function is a relation where each input (x-coordinate) has exactly one output (y-coordinate).

Front

What is the vertical line test?

Back

A method to determine if a relation is a function by checking if a vertical line intersects the graph at more than one point.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

What does the domain of a function represent?

Back

The domain is the set of all possible input values (x-coordinates) for the function.

Front

What does the range of a function represent?

Back

The range is the set of all possible output values (y-coordinates) for the function.